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Finding the Fourth Proportional to 123,084.47, 169,857.03 and 77,782.59

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Solution

The fourth proportional to 123,084.47, 169,857.03 and 77,782.59 is: 107,340.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,084.47 : 169,857.03 = 77,782.59 : x
  2. Step 2: Convert to fraction form
    123,084.47/169,857.03 = 77,782.59/x
  3. Step 3: Cross multiply
    123,084.47x = 169,857.03 × 77,782.59
  4. Step 4: Simplify right side
    123,084.47x = 13,211,920,014.79
  5. Step 5: Solve for x
    x = 13,211,920,014.79/123,084.47
  6. Step 6: Final answer
    x = 107,340.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.